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#include <bits/stdc++.h>
using namespace std;
#define MAX_N 50000
const long long INF = 1e10;
int n, m;
bitset <MAX_N +1> viz;
vector <long long> dist;
vector < vector <pair <int, int> > > graph;
priority_queue <pair <long long, int> > pq;
void dijkstra(int root)
{
dist[root] = 0;
pq.push({0, root});
while(!pq.empty())
{
pair <int, int> r;
r = pq.top();
pq.pop();
int node = r.second;
if(!viz[node])
{
viz[node] = 1;
for(pair <int, int> neighbour : graph[node])
{
if(dist[node] + neighbour.second < dist[neighbour.first])
{
dist[neighbour.first] = dist[node] + neighbour.second;
pq.push({-dist[neighbour.first], neighbour.first});
}
}
}
}
}
int main()
{
ios_base :: sync_with_stdio(0);
cin.tie(0);
freopen("dijkstra.in", "r", stdin);
freopen("dijkstra.out", "w", stdout);
cin >> n >> m;
dist.resize(n + 1, INF);
graph.resize(n + 1);
for(int i = 1; i <= m; i ++)
{
int a, b, c;
cin >> a >> b >> c;
graph[a].push_back({b, c});
}
dijkstra(1);
for(int i = 2; i <= n; i ++)
{
if(dist[i] == INF)
cout << "0 ";
else
cout << dist[i] << " ";
}
return 0;
}